{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CHTFBXHPZ6WHERCW4G4FN74SYI","short_pith_number":"pith:CHTFBXHP","canonical_record":{"source":{"id":"1006.4875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-24T20:38:30Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"00a6aa1f94fa19c7aaa5e20ad50d42cf73110fc1c07d0f8427d92416ad553f33","abstract_canon_sha256":"4e439cf8381da99de484e8399ea3592f97424ab5318dcca9be2e7e48cc2337e4"},"schema_version":"1.0"},"canonical_sha256":"11e650dcefcfac724456e1b856ff92c206299046cc162f96277b16bdae492e05","source":{"kind":"arxiv","id":"1006.4875","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4875","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4875v1","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4875","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"CHTFBXHPZ6WH","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CHTFBXHPZ6WHERCW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CHTFBXHP","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CHTFBXHPZ6WHERCW4G4FN74SYI","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-24T20:38:30Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"00a6aa1f94fa19c7aaa5e20ad50d42cf73110fc1c07d0f8427d92416ad553f33","abstract_canon_sha256":"4e439cf8381da99de484e8399ea3592f97424ab5318dcca9be2e7e48cc2337e4"},"schema_version":"1.0"},"canonical_sha256":"11e650dcefcfac724456e1b856ff92c206299046cc162f96277b16bdae492e05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:16.037835Z","signature_b64":"jne4g+OKvlgSI4Y/VTgMsMWLLSN4lYoh/M037660nehDtjpwY/x8WkY/ezjDZAKeB5ozTI0YZaIVOrV+G4cUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11e650dcefcfac724456e1b856ff92c206299046cc162f96277b16bdae492e05","last_reissued_at":"2026-05-18T02:33:16.037333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:16.037333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4875","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LeMG70yTe3TCSf7IHGVF6+N1xweZJryieWvW2fsp2A7XfjljqmbgDx1pLm2R9hIQ3onPMlvU4A2lFqh3vnWnBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:34:55.956188Z"},"content_sha256":"efe9374dbaebd02c8e428b901b1d693e9a9cee47d421b3911b38e0912f370022","schema_version":"1.0","event_id":"sha256:efe9374dbaebd02c8e428b901b1d693e9a9cee47d421b3911b38e0912f370022"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CHTFBXHPZ6WHERCW4G4FN74SYI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing DM halos using rotation curves and lensing: A warning on the determination of the halo mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.GA","authors_text":"Alma X. Gonzalez Morales, Dario Nunez, Jorge L. Cervantes-Cota, Tonatiuh Matos","submitted_at":"2010-06-24T20:38:30Z","abstract_excerpt":"There are two observations of galaxies that can offer some insight into the nature of the dark matter (DM), namely the rotation curves and the gravitational lensing. While the first one can be studied using the Newtonian limit, the second one is completely relativistic. Each one separately can not determine the nature of DM, but both together give us key information about this open problem. In this work we use a static and spherically symmetric metric to model the DM halo in a galaxy or in a galaxy cluster. The metric contains two free functions, one associated with the distribution of mass an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4875","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S2OSZth52Nidj80lcmjFjOm5Ds0Qy2G2dWqP/+U9Ha/EePXvioKaGA8uC4tEme/CI2VU7sgtPoM3yenLaxaiCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:34:55.957078Z"},"content_sha256":"4d3f4b25ac0335c563003edb6519c2434a7d98c22987e0097711a2c6b553cbc5","schema_version":"1.0","event_id":"sha256:4d3f4b25ac0335c563003edb6519c2434a7d98c22987e0097711a2c6b553cbc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CHTFBXHPZ6WHERCW4G4FN74SYI/bundle.json","state_url":"https://pith.science/pith/CHTFBXHPZ6WHERCW4G4FN74SYI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CHTFBXHPZ6WHERCW4G4FN74SYI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T23:34:55Z","links":{"resolver":"https://pith.science/pith/CHTFBXHPZ6WHERCW4G4FN74SYI","bundle":"https://pith.science/pith/CHTFBXHPZ6WHERCW4G4FN74SYI/bundle.json","state":"https://pith.science/pith/CHTFBXHPZ6WHERCW4G4FN74SYI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CHTFBXHPZ6WHERCW4G4FN74SYI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CHTFBXHPZ6WHERCW4G4FN74SYI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4e439cf8381da99de484e8399ea3592f97424ab5318dcca9be2e7e48cc2337e4","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-24T20:38:30Z","title_canon_sha256":"00a6aa1f94fa19c7aaa5e20ad50d42cf73110fc1c07d0f8427d92416ad553f33"},"schema_version":"1.0","source":{"id":"1006.4875","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4875","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4875v1","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4875","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"CHTFBXHPZ6WH","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CHTFBXHPZ6WHERCW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CHTFBXHP","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:4d3f4b25ac0335c563003edb6519c2434a7d98c22987e0097711a2c6b553cbc5","target":"graph","created_at":"2026-05-18T02:33:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"There are two observations of galaxies that can offer some insight into the nature of the dark matter (DM), namely the rotation curves and the gravitational lensing. While the first one can be studied using the Newtonian limit, the second one is completely relativistic. Each one separately can not determine the nature of DM, but both together give us key information about this open problem. In this work we use a static and spherically symmetric metric to model the DM halo in a galaxy or in a galaxy cluster. The metric contains two free functions, one associated with the distribution of mass an","authors_text":"Alma X. Gonzalez Morales, Dario Nunez, Jorge L. Cervantes-Cota, Tonatiuh Matos","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-24T20:38:30Z","title":"Testing DM halos using rotation curves and lensing: A warning on the determination of the halo mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4875","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:efe9374dbaebd02c8e428b901b1d693e9a9cee47d421b3911b38e0912f370022","target":"record","created_at":"2026-05-18T02:33:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4e439cf8381da99de484e8399ea3592f97424ab5318dcca9be2e7e48cc2337e4","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-24T20:38:30Z","title_canon_sha256":"00a6aa1f94fa19c7aaa5e20ad50d42cf73110fc1c07d0f8427d92416ad553f33"},"schema_version":"1.0","source":{"id":"1006.4875","kind":"arxiv","version":1}},"canonical_sha256":"11e650dcefcfac724456e1b856ff92c206299046cc162f96277b16bdae492e05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11e650dcefcfac724456e1b856ff92c206299046cc162f96277b16bdae492e05","first_computed_at":"2026-05-18T02:33:16.037333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:16.037333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jne4g+OKvlgSI4Y/VTgMsMWLLSN4lYoh/M037660nehDtjpwY/x8WkY/ezjDZAKeB5ozTI0YZaIVOrV+G4cUCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:16.037835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4875","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efe9374dbaebd02c8e428b901b1d693e9a9cee47d421b3911b38e0912f370022","sha256:4d3f4b25ac0335c563003edb6519c2434a7d98c22987e0097711a2c6b553cbc5"],"state_sha256":"a8a2bc74df43d08058d066d3eed878ef57dfdb3f6f53bab297a0f1749830dd48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"84peFF/a25DFGcwIIXTYh8PHgNb04yW7RBDtliqEId6VrjovTqD5Vo8VtkvmPw0JPaPl/p0t+LsMLczowyftCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:34:55.961722Z","bundle_sha256":"4f24b70e890c90666d75cbb4092d2ca52f417a94a3c92c2c54bdbf95fb450d8e"}}